Dynamics of Linear Perturbations in f(R) Gravity

By R. Bean, D. Bernat, Levon Pogosian, A. Silvestri, M. Trodden. 2006

267 citations recorded by the source corpus.

We consider predictions for structure formation from modifications to general relativity in which the Einstein-Hilbert action is replaced by a general function of the Ricci scalar. We work without fixing a gauge, as well as in explicit popular coordinate choices, appropriate for the modification of existing cosmological code. We present the framework in a comprehensive and practical form that can be directly compared to standard perturbation analyses. By considering the full evolution equations, we resolve perceived instabilities previously suggested, and instead find a suppression of perturbations. This result presents significant challenges for agreement with current cosmological structure formation observations. The findings apply to a broad range of forms of $f(R)$ for which the modification becomes important at low curvatures, disfavoring them in comparison with the $\ensuremath{\Lambda}\mathrm{CDM}$ scenario. As such, these results provide a powerful method to rule out a wide class of modified gravity models aimed at providing an alternative explanation to the dark energy problem.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8cd4a5d659f9e3dd97d8903efc6c127188b66a20

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Citations in the corpus

Structure formation in f(T) gravity and a solution for H0 tension (2018, background): “In most modified gravity theories, the extra degree of freedom will be governed by a dynamical equation, for instance in f(R) gravity [63].”
Modified Gravity and Cosmology (2011, methodology): “For studies on this subject the reader is referred to [1180, 629, 122, 377, 1219, 1226, 1043, 1220, 519, 1221, 914, 940].”
Approaches to understanding cosmic acceleration (2009, background): “The growth of structure in these models has been studied in [188, 205, 206], where it was found that the perturbations grow with a characteristic scale-dependent pattern.”
Probing the theory of gravity with gravitational lensing of gravitational waves and galaxy surveys (2019, background): “(9) (Carroll et al. 2006; Bean et al. 2007; Hu & Sawicki 2007; Schmidt 2008; Silvestri et al. 2013; Baker et al. 2015; Lombriser & Taylor 2016; Lombriser & Lima 2017; Saltas et al. 2014; Baker & Bull 2015; Slosar et al. 2019) such as (i) g(k, z) 6= 0, (ii) the modified Poisson Equation, (iii)…”
f(R) Theories (2010, background): “The existence of the latter phase gives rise to the modification to the matter power spectrum [146, 74, 544, 526, 251] (see also [597, 493, 494, 94, 446, 278, 435] for related works).”